WorldCalcs

Sphere Calculator

Enter the radius to find a sphere's volume and surface area.

Reviewed by the WorldCalcs team · Methodology · Last reviewed: June 2026

Volume

113.0973355

V = (4/3)πr³

Surface area

113.0973355

A = 4πr²

What is a sphere calculator?

A sphere calculator finds the volume and surface area of a sphere, a perfectly round 3D shape like a ball, from its radius. Spheres appear in physics, engineering, sports and everyday objects, and these two measurements describe how much space a sphere fills and how much surface it has.

How it's calculated

For a sphere with radius r: the volume is V = (4/3)πr³ and the surface area is A = 4πr². Both grow quickly with the radius, volume with the cube of r and surface area with the square, so even a small increase in radius makes a big difference.

Example

A sphere with a radius of 3 has a volume of (4/3) × π × 3³, about 113.097336, and a surface area of 4 × π × 3², about 113.097336. Doubling the radius to 6 gives a volume of about 904.778684 (eight times larger) and a surface area of about 452.389342 (four times larger).

All calculations happen in your browser. Nothing is sent, stored, or tracked.

Results are estimates and may contain errors — for general information only, not professional advice. Always verify before relying on them. Disclaimer

How to use

Type a positive radius. The calculator returns the volume ((4/3)πr³) and surface area (4πr²) instantly.

Values are rounded to about 6 significant digits using the standard constant π ≈ 3.14159.

Frequently asked questions

How do I find the volume of a sphere?+

Use V = (4/3)πr³, four-thirds times π times the radius cubed.

How do I find the surface area of a sphere?+

Use A = 4πr², four times π times the radius squared.

Why does volume grow so fast with radius?+

Because it depends on the radius cubed, so doubling the radius multiplies the volume by eight.

What units does the volume use?+

Cubic units of whatever you entered; surface area is in square units.

How is a sphere related to a circle?+

A sphere is the 3D version of a circle, and its formulas use the same constant π. See our Circle Calculator.

How do I find the radius from the volume?+

Rearrange to r = ∛(3V ÷ (4π)). See our Square Root Calculator for roots.

What is the difference between a sphere and a ball?+

A sphere is the surface; a ball includes the space inside. Everyday use treats them the same.

What is the diameter of a sphere?+

Twice the radius, the distance straight through the centre.

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